{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e03426e9-6542-44b8-af62-a08120a9c664",
   "metadata": {},
   "source": [
    "Chapter 8\n",
    "# 概率密度\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "22d64da5-e514-45de-909a-6ba377cb23c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e7c9bd53-6246-4e8a-9485-aea9dfaeea70",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.arange(-10, 10+0.1, 0.1)\n",
    "\n",
    "# Distance of random walk at t\n",
    "mu = 0;\n",
    "# W(0) = 0, which is the starting point of random walk\n",
    "\n",
    "t = np.arange(1,21)\n",
    "\n",
    "sigma = 1; \n",
    "# standard normal distribution\n",
    "sigma_series = np.sqrt(t)*sigma;\n",
    "\n",
    "xx,tt = np.meshgrid(x,t);\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "574dcd17-c128-4252-8887-a0ba826bf8e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([<matplotlib.axis.XTick at 0x25d50f21480>,\n",
       "  <matplotlib.axis.XTick at 0x25d50f21450>,\n",
       "  <matplotlib.axis.XTick at 0x25d50f20160>,\n",
       "  <matplotlib.axis.XTick at 0x25d50f59f30>,\n",
       "  <matplotlib.axis.XTick at 0x25d50f5a560>],\n",
       " [Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, ''),\n",
       "  Text(0, 0, '')])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plt.plot(t,sigma_series,marker = 'x')\n",
    "plt.xlabel('t'); \n",
    "plt.ylabel('Sigma*sqrt(t)')\n",
    "plt.xlim (t.min(),t.max())\n",
    "ax.grid(linestyle='--', linewidth=0.25, color=[0.5,0.5,0.5])\n",
    "plt.xticks([1,5,10,15,20])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c7ca0db0-5d50-4c27-aab1-524a18337469",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_sigma = len(sigma_series);\n",
    "\n",
    "colors = plt.cm.jet(np.linspace(0,1,n_sigma))\n",
    "colors = np.flipud(colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "39ea66c3-dd6c-4104-b50e-039e3e2ee50f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "pdf_matrix = [];\n",
    "\n",
    "for i, t_i in zip(range(n_sigma),t):\n",
    "    \n",
    "    sigma = sigma_series[i];\n",
    "    norm_ = norm(mu, sigma)\n",
    "    pdf_x = norm_.pdf(x)\n",
    "    \n",
    "    plt.plot(x, pdf_x, color=colors[i], label='t = %s' % t_i)\n",
    "    pdf_matrix.append(pdf_x)\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('Probability density')\n",
    "plt.xlim(-10,10)\n",
    "plt.ylim(0,0.4)\n",
    "plt.legend()\n",
    "pdf_matrix = np.array(pdf_matrix)"
   ]
  }
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